Question

A square wire, 20 cm on the side, moves at constant speed parallel to the xy-plane into a region where there is a uniform magnetic field = (0.1 T) .The induced electric current in the coil is 10 mA and its resistance is 10Ω. What is the speed of the wire?

Answer 1

The speed of the wire is 5 m/s.

Step-by-step explanation:

Given that,

Length = 20 cm

Magnetic field = 0.1 T

Current = 10 mA

Resistance
`R= 10\Omega`

We need to calculate the speed of the wire

Using formula of emf

`\epsilon=Bvl`

Using formula of current

`I=(\epsilon)/(R)`

Put the value of
`\epsilon` into the formula of current

`I=(Bvl)/(R)`

`v=(IR)/(Bl)`

`v=(10*10^(-3)*10)/(0.1*20*10^(-2))`

`v= 5\ m/s`

Hence, The speed of the wire is 5 m/s.